SKEW CATEGORIES, SMASH PRODUCT CATEGORIES AND QUASI-KOSZUL CATEGORIES

被引：0

作者：

Zhao, Deke ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 08期

关键词：

Skew categories; smash product categories; quasi-Koszul categories; group-graded categories; RINGS;

D O I：

10.1090/S0002-9939-2011-10695-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a small additive Krull-Schmidt locally radical finite category over a field K and let G be a finite group. We show that if A is a free G-category (resp. G-graded category), then A is quasi-Koszul if and only if the skew (resp. smash product) category G * A (resp. A#G) is.

引用

页码：2657 / 2662

页数：6

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